{"title":"计算具有单个或多个线性阻尼器的斜拉索模态阻尼比的一般半解析方法","authors":"Zhentao Long , Wenai Shen","doi":"10.1016/j.engstruct.2025.120958","DOIUrl":null,"url":null,"abstract":"<div><div>Calculating the modal damping ratios of a cable-damper system is fundamental in the design of cable multimode control. This paper proposes a general semi-analytical approach (GSA) for calculating the modal damping ratios of a cable-damper system equipped with single or multiple linear dampers. The cable dampers considered in this study include any kind of passive linear dampers and their combination. A generalized expression of linear damper forces is first given in the frequency domain. Then, we derive general complex eigenvalue equations for cable-damper systems, considering or not considering the sag effect and cable inclination, respectively. The modal damping ratios can be determined by numerically solving the complex eigenvalue equations. The accuracy of the proposed approach is validated using the 609m-long stay cable of the Guanyinsi Yangtze River Bridge in China, considering both single-damper and multiple-damper cases. Numerical results demonstrate that the proposed semi-analytical approach yields quite accurate modal damping ratios of the first 70 modes compared with those computed by the eigenvalue analysis based on the finite difference method. Comparative studies confirm the GSA’s superior application scope over classical asymptotic solutions and the finite difference method. This study establishes an efficient and accurate approach for calculating modal damping ratios of a cable-damper system, which is critical for cable multimode control of cable-stayed bridges.</div></div>","PeriodicalId":11763,"journal":{"name":"Engineering Structures","volume":"342 ","pages":"Article 120958"},"PeriodicalIF":6.4000,"publicationDate":"2025-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A general semi-analytical approach for calculating modal damping ratios of a stay cable with single or multiple linear dampers\",\"authors\":\"Zhentao Long , Wenai Shen\",\"doi\":\"10.1016/j.engstruct.2025.120958\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Calculating the modal damping ratios of a cable-damper system is fundamental in the design of cable multimode control. This paper proposes a general semi-analytical approach (GSA) for calculating the modal damping ratios of a cable-damper system equipped with single or multiple linear dampers. The cable dampers considered in this study include any kind of passive linear dampers and their combination. A generalized expression of linear damper forces is first given in the frequency domain. Then, we derive general complex eigenvalue equations for cable-damper systems, considering or not considering the sag effect and cable inclination, respectively. The modal damping ratios can be determined by numerically solving the complex eigenvalue equations. The accuracy of the proposed approach is validated using the 609m-long stay cable of the Guanyinsi Yangtze River Bridge in China, considering both single-damper and multiple-damper cases. Numerical results demonstrate that the proposed semi-analytical approach yields quite accurate modal damping ratios of the first 70 modes compared with those computed by the eigenvalue analysis based on the finite difference method. Comparative studies confirm the GSA’s superior application scope over classical asymptotic solutions and the finite difference method. This study establishes an efficient and accurate approach for calculating modal damping ratios of a cable-damper system, which is critical for cable multimode control of cable-stayed bridges.</div></div>\",\"PeriodicalId\":11763,\"journal\":{\"name\":\"Engineering Structures\",\"volume\":\"342 \",\"pages\":\"Article 120958\"},\"PeriodicalIF\":6.4000,\"publicationDate\":\"2025-07-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Engineering Structures\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0141029625013495\",\"RegionNum\":1,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0141029625013495","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
A general semi-analytical approach for calculating modal damping ratios of a stay cable with single or multiple linear dampers
Calculating the modal damping ratios of a cable-damper system is fundamental in the design of cable multimode control. This paper proposes a general semi-analytical approach (GSA) for calculating the modal damping ratios of a cable-damper system equipped with single or multiple linear dampers. The cable dampers considered in this study include any kind of passive linear dampers and their combination. A generalized expression of linear damper forces is first given in the frequency domain. Then, we derive general complex eigenvalue equations for cable-damper systems, considering or not considering the sag effect and cable inclination, respectively. The modal damping ratios can be determined by numerically solving the complex eigenvalue equations. The accuracy of the proposed approach is validated using the 609m-long stay cable of the Guanyinsi Yangtze River Bridge in China, considering both single-damper and multiple-damper cases. Numerical results demonstrate that the proposed semi-analytical approach yields quite accurate modal damping ratios of the first 70 modes compared with those computed by the eigenvalue analysis based on the finite difference method. Comparative studies confirm the GSA’s superior application scope over classical asymptotic solutions and the finite difference method. This study establishes an efficient and accurate approach for calculating modal damping ratios of a cable-damper system, which is critical for cable multimode control of cable-stayed bridges.
期刊介绍:
Engineering Structures provides a forum for a broad blend of scientific and technical papers to reflect the evolving needs of the structural engineering and structural mechanics communities. Particularly welcome are contributions dealing with applications of structural engineering and mechanics principles in all areas of technology. The journal aspires to a broad and integrated coverage of the effects of dynamic loadings and of the modelling techniques whereby the structural response to these loadings may be computed.
The scope of Engineering Structures encompasses, but is not restricted to, the following areas: infrastructure engineering; earthquake engineering; structure-fluid-soil interaction; wind engineering; fire engineering; blast engineering; structural reliability/stability; life assessment/integrity; structural health monitoring; multi-hazard engineering; structural dynamics; optimization; expert systems; experimental modelling; performance-based design; multiscale analysis; value engineering.
Topics of interest include: tall buildings; innovative structures; environmentally responsive structures; bridges; stadiums; commercial and public buildings; transmission towers; television and telecommunication masts; foldable structures; cooling towers; plates and shells; suspension structures; protective structures; smart structures; nuclear reactors; dams; pressure vessels; pipelines; tunnels.
Engineering Structures also publishes review articles, short communications and discussions, book reviews, and a diary on international events related to any aspect of structural engineering.